Hypothesis Testing 2

In a right-tailed test with 𝛼 = 0.01, the critical value of z is:

• A. 1.28

• B. 1.65

• C. 1.96

• D. 2.33

2. The value that separates a rejection region from an acceptance region is called a ___________.

• A. Parameter

• B. Hypothesis

• C. Critical Value

• D. Significance Level

3. For a two-tailed test with variance unknown, n= 19, and 𝛼 = 0.05, what is the critical value?

• A. ±2.092

• B. ±2.101

• C. ±2.145

• D. ±2.878

4. For a two-tailed test with a sample size of 40, the null hypothesis will be rejected at 5% level of significance if the test statistic is:

• A. 𝑧 ≤ −1.28 𝑜𝑟 𝑧 ≥ 1.28

• B. 𝑧 ≤ −1.645 𝑜𝑟 𝑧 ≥ 1.645

• C. 𝑧 ≤ −1.96 𝑜𝑟 𝑧 ≥ 1.96

• D. 𝑧 ≤ −2.33 𝑜𝑟 𝑧 ≥ 3.33

5. In the two-tailed test, the rejection region lies on ___________ of the normal distribution.

• A. center

• B. left tail

• C. right tail

• D. both tails

6. What is the critical value if the population variance is unknown, 𝑛 = 13, 𝛼 = 0.05, and it is a one-tailed test?

• A. 𝑡 =1.782

• B. 𝑡 =2.179

• C. 𝑡 =2.681

• D. 𝑡 =3.055

7. Given a two-tailed test, population variance is known, and 𝛼 = 0.10, what is critical region?

• A. 𝑧 ≥ 1.28

• B. 𝑧 ≤ −1.96

• C. ≤ −2.33 or 𝑧 ≥ 2.33

• D. 𝑧 ≤ −1.645 or 𝑧 ≥ 1.645

8. It refers to a value calculated from sample data which is needed in deciding whether the null hypothesis is rejected or not.

• A. test statistics

• B. critical region

• C. null hypothesis

• D. alternative hypothesis

9. What test statistic will be used if the sample size is above 30?

• A. t-test

• B. z-test

• C. population mean

• D. standard deviation

10. What test statistic can be used when the population standard deviation is known?

• A. t-test

• B. z-test

• C. population mean

• D. standard deviation